Question

A local state agency wants to decrease unemployment in its county, so it increases career education and placement services. To see if there efforts are useful they compared 2 samples of individuals in the same industry who were unemployed 2 years ago. The first random sample are people who did not utilize these services and the second random sample are people who did utilize these services. They compared the number of months each sample was unemployed. The statistics for both samples are as follows:

Sample 1: Utilized Services	Sample 2: Utilized Services
Mean # of months (y1-bar):   22.4	Mean # of months (y2-bar):   20.8
Std Dev. (s1):                 7.96	Std Dev. (s2):                 8.31
Sample size (n1):          50	Sample size (n2):          50

Assuming a 1-sided t-test with an alpha of 0.05, would you reject or fail to reject the hypothesis that there was no difference between the samples?

To earn full points show the null hypothesis, alternative hypothesis, t-statistic, p-value or t critical value, and evaluate test based on t critical value or alpha

Answer 1